The value exactly halfway between the lower and upper limits of a class interval is determined by summing those limits and dividing by two. For instance, if a class interval ranges from 10 to 20, the average of these boundaries, (10 + 20) / 2 = 15, defines the central value.
This central tendency measure simplifies data analysis by providing a single, representative value for each interval. It is particularly useful when dealing with grouped data where individual data points are not available. Historically, this calculation has been a fundamental step in descriptive statistical analysis, aiding in the summarization and interpretation of large datasets, especially before the advent of sophisticated computing technologies.